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Finding the Fourth Proportional to 2,809.22, 4,213.83 and 960.35

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Solution

The fourth proportional to 2,809.22, 4,213.83 and 960.35 is: 1,440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.22 : 4,213.83 = 960.35 : x
  2. Step 2: Convert to fraction form
    2,809.22/4,213.83 = 960.35/x
  3. Step 3: Cross multiply
    2,809.22x = 4,213.83 × 960.35
  4. Step 4: Simplify right side
    2,809.22x = 4,046,762.18
  5. Step 5: Solve for x
    x = 4,046,762.18/2,809.22
  6. Step 6: Final answer
    x = 1,440.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.